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Source Efficiency Formula

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Source efficiency is the ratio of the amount of information that can be transmitted over a channel using a particular source to the total amount of information in the source. Check FAQs

η s = (\frac{H[S]}{H[S] max}) \cdot 100

η_s - Source Efficiency?H[S] - Entropy?H[S]_max - Maximum Entropy?

Source Efficiency Example

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Here is how the Source Efficiency equation looks like with Values.

Here is how the Source Efficiency equation looks like with Units.

Here is how the Source Efficiency equation looks like.

45 = (\frac{1.8}{4}) \cdot 100

45 = (\frac{1.8b/s}{4bits}) \cdot 100

45 = (\frac{1.8}{4}) \cdot 100

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Source Efficiency Solution

Follow our step by step solution on how to calculate Source Efficiency?

FIRST Step Consider the formula

η s = (\frac{H[S]}{H[S] max}) \cdot 100

Next Step Substitute values of Variables

∴

η s = (\frac{1.8b/s}{4bits}) \cdot 100

Next Step Prepare to Evaluate

∴

η s = (\frac{1.8}{4}) \cdot 100

LAST Step Evaluate

∴

η s = 45

Source Efficiency Formula Elements

Variables

Source Efficiency

Source efficiency is the ratio of the amount of information that can be transmitted over a channel using a particular source to the total amount of information in the source.

Symbol: η_s

Measurement: NAUnit: Unitless

Note: Value should be less than 100.

Formulas to find Source Efficiency

Entropy

Entropy is a measure of the uncertainty of a random variable. Specifically, it measures the average amount of information contained in each possible outcome of the random variable.

Symbol: H[S]

Measurement: Data TransferUnit: b/s

Note: Value should be greater than 0.

Formulas to find Entropy

Maximum Entropy

The Maximum entropy is defined as states that the probability distribution which best represents the current state of knowledge about a system is the one with largest entropy.

Symbol: H[S]_max

Measurement: Data StorageUnit: bits

Note: Value can be positive or negative.

Formulas to find Maximum Entropy

Other formulas in Source Coding category

Go R-Ary Entropy

H r [S] = \frac{H[S]}{\log 2 (r)}

Go Coding Efficiency

η c = (\frac{H r [S]}{L \cdot \log 2 (D s)}) \cdot 100

Go Coding Redundancy

R ηc = (1 - (\frac{H r [S]}{L \cdot \log 2 (D s)})) \cdot 100

Go Source Redundancy

R ηs = (1 - η) \cdot 100

How to Evaluate Source Efficiency?

Source Efficiency evaluator uses Source Efficiency = (Entropy/Maximum Entropy)*100 to evaluate the Source Efficiency, The Source Efficiency formula is defined as the efficiency of a coding system is the ratio of the average information per symbol to the average code length. Source Efficiency is denoted by η_s symbol.

How to evaluate Source Efficiency using this online evaluator? To use this online evaluator for Source Efficiency, enter Entropy (H[S]) & Maximum Entropy (H[S]_max) and hit the calculate button.

FAQs on Source Efficiency

What is the formula to find Source Efficiency?

The formula of Source Efficiency is expressed as Source Efficiency = (Entropy/Maximum Entropy)*100. Here is an example- 45 = (1.8/4)*100.

How to calculate Source Efficiency?

With Entropy (H[S]) & Maximum Entropy (H[S]_max) we can find Source Efficiency using the formula - Source Efficiency = (Entropy/Maximum Entropy)*100.

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